#### Solution for 505 is what percent of 700:

505:700*100 =

(505*100):700 =

50500:700 = 72.14

Now we have: 505 is what percent of 700 = 72.14

Question: 505 is what percent of 700?

Percentage solution with steps:

Step 1: We make the assumption that 700 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={700}.

Step 4: In the same vein, {x\%}={505}.

Step 5: This gives us a pair of simple equations:

{100\%}={700}(1).

{x\%}={505}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{700}{505}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{505}{700}

\Rightarrow{x} = {72.14\%}

Therefore, {505} is {72.14\%} of {700}.

#### Solution for 700 is what percent of 505:

700:505*100 =

(700*100):505 =

70000:505 = 138.61

Now we have: 700 is what percent of 505 = 138.61

Question: 700 is what percent of 505?

Percentage solution with steps:

Step 1: We make the assumption that 505 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={505}.

Step 4: In the same vein, {x\%}={700}.

Step 5: This gives us a pair of simple equations:

{100\%}={505}(1).

{x\%}={700}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{505}{700}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{700}{505}

\Rightarrow{x} = {138.61\%}

Therefore, {700} is {138.61\%} of {505}.

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